ACT Practice

Q1 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

A shirt is marked up 40% from its cost of $25. What is the selling price?

A) $10
B) $35
C) $40
D) $45
E) $50

Answer: B) $35. Markup = 40% × $25 = $10，Selling price = $25 + $10 = $35.

Q4 【M-IACG-52】 · ACT Math · Coordinate Geometry · Medium

What is the slope of the line passing through (2, 3) and (6, 11)?

A) 1/2
B) 2
C) 4
D) 8
E) −2

Answer: B) 2. Slope = (11 − 3) / (6 − 2) = 8 / 4 = 2.

Q5 【M-PGT-61】 · ACT Math · Plane Geometry · Easy

What is the sum of interior angles of a hexagon?

A) 360°
B) 540°
C) 720°
D) 900°
E) 1080°

Answer: C) 720°. Sum = (n − 2) × 180 = (6 − 2) × 180 = 720°.

Q9 【M-PGT-62】 · ACT Math · Trigonometry · Hard

If sin(θ) = 3/5 and θ is in the first quadrant, what is cos(θ)?

A) 3/4
B) 4/5
C) 5/3
D) 5/4
E) 3/5

Answer: B) 4/5. sin² + cos² = 1，cos² = 1 − 9/25 = 16/25，cos = 4/5（第一象限为正值）。

Q11 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

What is 25% of 80?

A) 15
B) 20
C) 25
D) 30
E) 40

Answer: B) 20. 0.25 × 80 = 20.

Q12 【M-PAEA-42】 · ACT Math · Elementary Algebra · Medium

If 3x − 7 = 14, what is x?

A) 5
B) 6
C) 7
D) 8
E) 21

Answer: C) 7. 3x = 21，x = 7.

Q13 【M-IACG-51】 · ACT Math · Intermediate Algebra · Hard

If f(x) = x² − 3x + 2, what are the roots?

A) x = 1, x = 2
B) x = −1, x = −2
C) x = 1, x = 3
D) x = 2, x = 3
E) x = 0

Answer: A) x = 1, x = 2. 因式分解：(x − 1)(x − 2) = 0，故 x = 1 或 x = 2.

Q14 【M-PGT-61】 · ACT Math · Plane Geometry · Medium

A circle has diameter 10. What is its circumference? (π ≈ 3.14)

A) 15.7
B) 31.4
C) 78.5
D) 62.8
E) 100

Answer: B) 31.4. C = πd = 3.14 × 10 = 31.4.

Q2 【E-CSE-33】 · ACT English · Usage · Easy

Choose the best version: “Neither the students nor the teacher _____ aware of the schedule change.”

A) was
B) were
C) is
D) are
E) being

Answer: A) was. 在 “neither…nor” 结构中，谓语动词与最近的主语保持一致（“teacher” 为单数），故用 was.

Q6 【E-PW-11】 · ACT English · Rhetoric · Medium

Which sentence best concludes this paragraph about climate change research? The paragraph discusses recent findings on ocean temperature rise.

A) “In conclusion, more research is needed.”
B) “Ocean temperatures have risen by 0.5°C since 2015.”
C) “These findings underscore the urgent need for coordinated global action to reduce carbon emissions.”
D) “I think climate change is bad.”
E) “The ocean is very large.”

Answer: C). 该句综合了段落的研究发现，并给出有力的结论性观点。

Q10 【E-CSE-32】 · ACT English · Sentence Structure · Easy

Choose the correct sentence:

A) Walking down the street, the rain started to fall.
B) The rain started to fall, walking down the street.
C) As I was walking down the street, the rain started to fall.
D) Walking down the street, I felt the rain start to fall.
E) Both C and D

Answer: E) Both C and D. C 与 D 都修正了悬垂修饰语；A 与 B 存在悬垂修饰语错误。

Q15 【E-CSE-33】 · ACT English · Usage · Easy

Choose the correct form: “She has _____ the book already.”

A) read
B) reads
C) reading
D) red
E) readable

Answer: A) read. 现在完成时结构：has + 过去分词。

Q16 【E-PW-11】 · ACT English · Rhetoric · Medium

Which transition best connects: “The data shows increased sales. _____, customer satisfaction has declined.”

A) Therefore
B) Similarly
C) Meanwhile
D) Consequently
E) For example

Answer: C) Meanwhile. 表示同时发生的相反趋势。

Q7 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage: “The old lighthouse stood as a silent sentinel, its lamp long extinguished, guarding memories of ships that would never return.” The description of the lighthouse suggests:

A) It is still functional
B) It evokes a sense of loss and nostalgia
C) It is a tourist attraction
D) It was recently built
E) It guards treasure

Answer: B). “silent”、“long extinguished”、“never return” 等词营造出失落与怀旧的氛围。

Q17 【R-KID-71】 · ACT Reading · Main Idea · Medium

Passage: “Climate scientists have observed that Arctic ice is melting at an unprecedented rate, with summer sea ice extent decreasing by 40% since 1979.” What is the main idea?

A) Arctic ice melting is a serious and accelerating problem
B) Arctic ice has always melted
C) Scientists don't agree on Arctic ice trends
D) Summer sea ice is increasing
E) Arctic ice will be gone by 2025

Answer: A). 文段强调北极海冰以前所未有的速度加速消融，是一个严峻且加剧的问题。

Q18 【R-KID-72】 · ACT Reading · Detail · Easy

Passage: “The library, built in 1895, was donated by philanthropist Andrew Carnegie.” When was the library built?

A) 1859
B) 1895
C) 1958
D) 1805
E) 1985

Answer: B) 1895. 文中明确指出 “built in 1895”。

Q3 【S-DR-101】 · ACT Science · Data Interpretation · Easy

An experiment measures plant growth under different light colors. After 14 days, plants under blue light grew 12 cm, red light 15 cm, green light 3 cm, and white light 10 cm. What is the average growth across all conditions?

A) 8 cm
B) 9 cm
C) 10 cm
D) 12 cm
E) 15 cm

Answer: C) 10 cm. (12 + 15 + 3 + 10) / 4 = 40 / 4 = 10 cm.

Q8 【S-RS-111】 · ACT Science · Research Summary · Medium

Experiment: Students tested 3 fertilizers (A, B, C) on tomato plants. After 6 weeks: A = 25 cm, B = 32 cm, C = 18 cm, Control = 15 cm. Which fertilizer produced the greatest percentage increase over control?

A) Fertilizer A
B) Fertilizer B
C) Fertilizer C
D) All equal
E) Cannot determine

Answer: B). A: (25 − 15) / 15 = 67%，B: (32 − 15) / 15 = 113%，C: (18 − 15) / 15 = 20%. B 的增长率最高。

Q19 【S-DR-101】 · ACT Science · Data Interpretation · Medium

An experiment measures reaction time at different temperatures: 20°C → 0.5s, 30°C → 0.3s, 40°C → 0.2s. What is the trend?

A) Higher temp → slower reaction
B) Higher temp → faster reaction
C) No trend
D) Reaction time is constant
E) Temperature has no effect

Answer: B) Higher temp → faster reaction. 温度升高时反应时间变短，即反应更快。

Q20 【S-CV-121】 · ACT Science · Conflicting Viewpoints · Hard

Scientist A claims CO₂ is the main driver of climate change. Scientist B claims solar activity is. A key difference in their arguments is:

A) Both agree on CO₂
B) Both agree on solar activity
C) They identify different primary causes
D) Scientist A denies climate change
E) Scientist B denies climate change

Answer: C) They identify different primary causes. 两位科学家对气候变化的主要驱动力给出了不同的归因。

Q21 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

What is 1/4 + 0.5?

A) 0.25
B) 0.50
C) 0.75
D) 1.00
E) 1.25

Answer: C) 0.75. 1/4 = 0.25，0.25 + 0.50 = 0.75.

Q22 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

A jacket costs $80. With a 15% discount, what is the sale price?

A) $12
B) $65
C) $68
D) $72
E) $95

Answer: C) $68. Discount = 0.15 × 80 = $12，$80 − $12 = $68.

Q23 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

The ratio of cats to dogs in a shelter is 3:5. If there are 40 dogs, how many cats are there?

A) 8
B) 15
C) 24
D) 25
E) 64

Answer: C) 24. 3/5 = x/40，x = 3 × 8 = 24.

Q24 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

If 5 workers can build a wall in 12 days, how many days would it take 6 workers to build the same wall (assuming equal rates)?

A) 8
B) 10
C) 14
D) 15
E) 18

Answer: B) 10. Total work = 5 × 12 = 60 worker-days；60 ÷ 6 = 10 days.

Q25 【M-PAEA-42】 · ACT Math · Elementary Algebra · Easy

Solve 2x + 5 = 17.

A) 4
B) 6
C) 8
D) 11
E) 12

Answer: B) 6. 2x = 12，x = 6.

Q26 【M-PAEA-42】 · ACT Math · Elementary Algebra · Medium

Expand (x + 3)(x − 2).

A) x² + x − 6
B) x² − x − 6
C) x² + x + 6
D) x² − 5x − 6
E) x² + 5x − 6

Answer: A) x² + x − 6. x² − 2x + 3x − 6 = x² + x − 6.

Q27 【M-IACG-51】 · ACT Math · Intermediate Algebra · Hard

Factor 2x² + 7x + 3.

A) (2x + 1)(x + 3)
B) (2x + 3)(x + 1)
C) (2x − 1)(x − 3)
D) (x + 3)(x + 2)
E) (2x + 1)(x − 3)

Answer: A) (2x + 1)(x + 3). 验证：2x² + 6x + x + 3 = 2x² + 7x + 3 ✓.

Q28 【M-IACG-52】 · ACT Math · Coordinate Geometry · Easy

What is the y-intercept of the line y = 3x − 7?

A) 3
B) −3
C) 7
D) −7
E) 0

Answer: D) −7. y = mx + b，b = −7.

Q29 【M-IACG-52】 · ACT Math · Coordinate Geometry · Medium

What is the distance between the points (1, 2) and (4, 6)?

A) 3
B) 4
C) 5
D) 7
E) 25

Answer: C) 5. d = √((4 − 1)² + (6 − 2)²) = √(9 + 16) = √25 = 5.

Q30 【M-PGT-61】 · ACT Math · Plane Geometry · Medium

In a triangle, two angles measure 50° and 60°. What is the measure of the third angle?

A) 50°
B) 60°
C) 70°
D) 90°
E) 110°

Answer: C) 70°. 三角形内角和 = 180°，第三角 = 180 − 50 − 60 = 70°.

Q31 【M-PGT-61】 · ACT Math · Plane Geometry · Hard

A circle has area 49π. What is its circumference?

A) 7π
B) 14π
C) 28π
D) 49π
E) 98π

Answer: B) 14π. A = πr² = 49π → r = 7；C = 2πr = 14π.

Q32 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

A fair 6-sided die is rolled. What is the probability of rolling a number greater than 4?

A) 1/6
B) 1/4
C) 1/3
D) 1/2
E) 2/3

Answer: C) 1/3. 大于 4 的有 5、6 两个，2/6 = 1/3.

Q33 【E-CSE-31】 · ACT English · Punctuation · Easy

Choose the correctly punctuated version:

A) After, the long hike we rested.
B) After the long hike we rested.
C) After the long hike, we rested.
D) After the long, hike we rested.
E) After, the long hike, we rested.

Answer: C). 引导性介词短语后需用逗号分隔主句。

Q34 【E-CSE-31】 · ACT English · Punctuation · Medium

Which sentence uses a semicolon correctly?

A) Although tired; she finished the race.
B) She finished the race; although she was tired.
C) She finished the race; she won a medal.
D) She finished the race, however; she was exhausted.
E) She finished; although tired, the race.

Answer: C). 分号用于连接两个独立分句。

Q35 【E-CSE-33】 · ACT English · Usage · Easy

Choose the correct verb: “Each of the students _____ a textbook.”

A) have
B) has
C) having
D) were
E) are

Answer: B) has. “Each” 为单数主语，谓语动词用单数。

Q36 【E-CSE-32】 · ACT English · Sentence Structure · Medium

Choose the version that maintains parallel structure: “She likes hiking, _____, and reading.”

A) to swim
B) swims
C) swimming
D) swim
E) swam

Answer: C) swimming. 列举的并列动作须保持 -ing 形式。

Q37 【E-PW-11】 · ACT English · Rhetoric · Hard

Choose the best word: “The CEO's decision was _____, as it affected thousands of employees.”

A) trivial
B) momentous
C) frequent
D) optional
E) casual

Answer: B) momentous. 影响数千员工 → 决定 “重大”。

Q38 【E-PW-11】 · ACT English · Rhetoric · Medium

Which sentence is least redundant?

A) The new innovation was surprising.
B) The innovation was surprising.
C) The new, never-before-seen innovation was surprising.
D) The brand-new innovation was surprising.
E) The new, novel innovation was surprising.

Answer: B). “innovation” 本身已含 “new” 之意，省略 new 避免冗余。

Q39 【E-PW-11】 · ACT English · Rhetoric · Easy

Choose the best transition: “I studied all night. _____, I passed the exam.”

A) However
B) Therefore
C) Although
D) Despite
E) Nevertheless

Answer: B) Therefore. 前后句构成因果关系。

Q40 【E-PW-11】 · ACT English · Rhetoric · Hard

Which sentence should come FIRST in a paragraph arguing for investment in renewable energy?

A) “Solar panels have dropped 90% in cost since 2010.”
B) “Investment in renewables must accelerate immediately.”
C) “Therefore, governments should act now.”
D) “Wind energy now powers 8% of U.S. homes.”
E) “In conclusion, renewables are vital.”

Answer: B). 主题句先行，再以数据与结论支撑。

Q41 【R-KID-71】 · ACT Reading · Main Idea · Easy

Passage: “Recycling programs in major cities have reduced landfill waste by an average of 30% over the past decade, though participation rates still vary widely by neighborhood.” What is the main idea?

A) Recycling is useless
B) Recycling has had mixed results, with overall waste reduction but uneven participation
C) All neighborhoods recycle equally
D) Recycling has eliminated landfills
E) Recycling costs too much

Answer: B). 文段既肯定减排成效，又指出参与率不均。

Q42 【R-KID-72】 · ACT Reading · Detail · Medium

Passage: “The Great Migration (1916–1970) saw approximately six million African Americans relocate from the rural South to cities in the North and West.” How many people migrated during the Great Migration?

A) 1 million
B) 3 million
C) 6 million
D) 16 million
E) 70 million

Answer: C) 6 million. 文中明确 “six million”。

Q43 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage: “Maria glanced at the clock, then at the empty doorway, then back at the clock. The kettle whistled, but she didn't move.” What can be inferred?

A) Maria is thirsty
B) Maria is anxiously waiting for someone
C) The clock is broken
D) Maria dislikes tea
E) Maria is sleeping

Answer: B). 反复看钟、看门口、忽略水壶 → 焦急等待某人。

Q44 【R-CS-81】 · ACT Reading · Vocabulary · Medium

Passage: “The professor's lecture was esoteric, understood by only a handful of specialists.” As used, “esoteric” most nearly means:

A) basic
B) obscure
C) famous
D) brief
E) popular

Answer: B) obscure. 上下文 “only a handful” 暗示其晦涩难懂。

Q45 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage: “Oh, what a brilliant idea to schedule a beach trip during monsoon season. Truly a stroke of genius.” The author's tone is:

A) sincere praise
B) ironic
C) fearful
D) curious
E) indifferent

Answer: B) ironic. 字面赞美与实际荒谬构成反讽。

Q46 【S-DR-101】 · ACT Science · Data Interpretation · Easy

A data table records: Trial 1 → 5.2s, Trial 2 → 5.4s, Trial 3 → 5.3s. What is the average reaction time?

A) 5.0 s
B) 5.3 s
C) 5.4 s
D) 5.5 s
E) 16.0 s

Answer: B) 5.3 s. (5.2 + 5.4 + 5.3) / 3 = 15.9 / 3 = 5.3.

Q47 【S-DR-102】 · ACT Science · Data Representation · Medium

A line graph shows temperature rising linearly from 20°C at t = 0 min to 60°C at t = 10 min. What is the temperature at t = 5 min?

A) 25°C
B) 30°C
C) 40°C
D) 50°C
E) 60°C

Answer: C) 40°C. 线性增长，t = 5 为中点，对应 20 + (60 − 20)/2 = 40°C.

Q48 【S-RS-111】 · ACT Science · Research Summary · Medium

A study tests a new drug's effect on blood pressure. Which control group is most appropriate?

A) Patients taking a different blood pressure drug
B) Patients taking a placebo
C) Patients with normal blood pressure
D) Patients who exercise daily
E) No control group needed

Answer: B). 对照组服用安慰剂，以隔离药物本身的效果。

Q49 【S-CV-121】 · ACT Science · Conflicting Viewpoints · Hard

Scientist A: Species decline is caused by habitat loss. Scientist B: Species decline is caused by climate change. Which finding would best support Scientist A over Scientist B?

A) Species decline correlates with rising temperatures
B) Species decline is greatest in regions with high deforestation, regardless of temperature change
C) Both habitat loss and climate change affect species
D) Species decline occurs worldwide
E) Climate change is accelerating

Answer: B). 在 “温度不变但森林砍伐高” 的地区物种衰退最严重，支持栖息地丧失为主要原因。

Q50 【S-RS-111】 · ACT Science · Research Summary · Easy

An experiment tests 3 fertilizers on plant height after 4 weeks: A = 15 cm, B = 22 cm, Control = 10 cm. Fertilizer B's percentage increase over the control is approximately:

A) 50%
B) 75%
C) 100%
D) 120%
E) 220%

Answer: D) 120%. (22 − 10) / 10 = 1.2 = 120%.

Q51 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

What is 3/5 as a decimal?

A) 0.35
B) 0.6
C) 0.625
D) 0.66
E) 1.67

Answer: B) 0.6. 3 ÷ 5 = 0.6.

Q52 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

What is 0.4 × 0.5?

A) 0.02
B) 0.20
C) 0.45
D) 2.0
E) 4.5

Answer: B) 0.20. 0.4 × 0.5 = 0.20.

Q53 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

A store marks up an item 30% above its $50 cost. A customer then uses a 10% off coupon. What does the customer pay?

A) $52
B) $55
C) $58.50
D) $65
E) $70

Answer: C) $58.50. 标价 = 50 × 1.30 = $65；打折 = 65 × 0.90 = $58.50.

Q54 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

The ratio of apples to oranges is 2:7. If there are 63 fruits total, how many are apples?

A) 9
B) 14
C) 18
D) 45
E) 49

Answer: B) 14. 2 + 7 = 9 parts；63 / 9 = 7 per part；apples = 2 × 7 = 14.

Q55 【M-PAEA-41】 · ACT Math · Pre-Algebra · Hard

A bag has 4 red, 3 blue, and 5 green marbles. Two marbles are drawn without replacement. What is the probability both are green?

A) 1/12
B) 5/33
C) 1/6
D) 25/144
E) 5/12

Answer: B) 5/33. 第一次：5/12；第二次：4/11；(5/12)(4/11) = 20/132 = 5/33.

Q56 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

What is the least common multiple of 6 and 8?

A) 12
B) 24
C) 48
D) 14
E) 2

Answer: B) 24. 6 = 2×3，8 = 2³；LCM = 2³ × 3 = 24.

Q57 【M-PAEA-41】 · ACT Math · Pre-Algebra · Easy

What is the mean of 4, 8, 6, 10, 2?

A) 5
B) 6
C) 7
D) 8
E) 30

Answer: B) 6. (4 + 8 + 6 + 10 + 2) / 5 = 30 / 5 = 6.

Q58 【M-PAEA-41】 · ACT Math · Pre-Algebra · Medium

What is the 7th term of the arithmetic sequence 3, 7, 11, 15, …?

A) 19
B) 23
C) 27
D) 31
E) 35

Answer: C) 27. 公差 = 4；a₇ = 3 + 6(4) = 27.

Q59 【M-PAEA-42】 · ACT Math · Elementary Algebra · Easy

Solve 5x − 3 = 2x + 9.

A) 2
B) 3
C) 4
D) 5
E) 6

Answer: C) 4. 3x = 12，x = 4.

Q60 【M-PAEA-42】 · ACT Math · Elementary Algebra · Medium

Simplify 3(x + 2) − 2(x − 4).

A) x − 2
B) x + 14
C) 5x − 2
D) x + 10
E) 5x + 14

Answer: B) x + 14. 3x + 6 − 2x + 8 = x + 14.

Q61 【M-PAEA-42】 · ACT Math · Elementary Algebra · Medium

Expand (2x − 3)².

A) 4x² − 9
B) 4x² + 9
C) 4x² − 12x + 9
D) 2x² − 12x + 9
E) 4x² − 6x + 9

Answer: C) 4x² − 12x + 9. (2x)² − 2(2x)(3) + 3² = 4x² − 12x + 9.

Q62 【M-PAEA-42】 · ACT Math · Elementary Algebra · Hard

A rectangle’s length is 3 more than twice its width. If the perimeter is 36, what is the width?

A) 4
B) 5
C) 6
D) 7
E) 11

Answer: B) 5. 设宽 w，长 2w + 3；2(w + 2w + 3) = 36，3w + 3 = 18，3w = 15，w = 5.

Q63 【M-IACG-51】 · ACT Math · Intermediate Algebra · Medium

What are the roots of x² − 5x + 6 = 0?

A) x = 1, x = 6
B) x = 2, x = 3
C) x = −2, x = −3
D) x = 1, x = 5
E) x = −1, x = 6

Answer: B) x = 2, x = 3. (x − 2)(x − 3) = 0.

Q64 【M-IACG-51】 · ACT Math · Intermediate Algebra · Hard

For what value of k does x² + kx + 9 = 0 have exactly one real solution?

A) 3
B) 6
C) ±6
D) 9
E) ±3

Answer: C) ±6. 判别式 = k² − 36 = 0 → k = ±6.

Q65 【M-IACG-51】 · ACT Math · Intermediate Algebra · Medium

If f(x) = x² − 2x, what is f(−3)?

A) 3
B) 9
C) 12
D) 15
E) −9

Answer: D) 15. f(−3) = 9 + 6 = 15.

Q66 【M-IACG-51】 · ACT Math · Intermediate Algebra · Hard

Solve 2x² − 5x − 3 ≤ 0.

A) x ≤ −1/2 or x ≥ 3
B) −1/2 ≤ x ≤ 3
C) x ≤ 3
D) x ≥ −1/2
E) All real numbers

Answer: B) −1/2 ≤ x ≤ 3. 因式 (2x + 1)(x − 3) ≤ 0，根 −1/2 与 3 之间为负.

Q67 【M-IACG-51】 · ACT Math · Intermediate Algebra · Medium

Simplify (x³ · x⁵) / x⁴.

A) x²
B) x⁴
C) x⁷
D) x¹²
E) x²⁰

Answer: B) x⁴. x³⁺⁵⁻⁴ = x⁴.

Q68 【M-IACG-52】 · ACT Math · Coordinate Geometry · Easy

What is the slope of the line y = −2x + 5?

A) 5
B) 2
C) −2
D) −5
E) 1/2

Answer: C) −2. y = mx + b 中 m = −2.

Q69 【M-IACG-52】 · ACT Math · Coordinate Geometry · Medium

What is the midpoint of the segment with endpoints (−2, 4) and (6, 8)?

A) (2, 6)
B) (4, 6)
C) (2, 12)
D) (4, 2)
E) (8, 12)

Answer: A) (2, 6). ((−2+6)/2, (4+8)/2) = (2, 6).

Q70 【M-IACG-52】 · ACT Math · Coordinate Geometry · Hard

Which equation represents a line parallel to y = 3x − 2 passing through (1, 4)?

A) y = 3x + 1
B) y = −3x + 7
C) y = 3x − 1
D) y = (1/3)x + 4
E) y = 3x + 4

Answer: A) y = 3x + 1. 平行 → 斜率 3；过 (1,4)：4 = 3(1) + b → b = 1.

Q71 【M-IACG-52】 · ACT Math · Coordinate Geometry · Medium

What is the distance between (−3, 1) and (5, 7)?

A) 8
B) 10
C) 14
D) 100
E) √14

Answer: B) 10. d = √((5+3)² + (7−1)²) = √(64 + 36) = √100 = 10.

Q72 【M-PGT-61】 · ACT Math · Plane Geometry · Easy

Two angles are complementary. If one is 35°, what is the other?

A) 45°
B) 55°
C) 65°
D) 145°
E) 90°

Answer: B) 55°. 互补角和为 90°；90 − 35 = 55°.

Q73 【M-PGT-61】 · ACT Math · Plane Geometry · Medium

A triangle has sides 5, 12, 13. What is its area?

A) 30
B) 60
C) 65
D) 78
E) 156

Answer: A) 30. 5-12-13 为直角三角形；面积 = (1/2)(5)(12) = 30.

Q74 【M-PGT-61】 · ACT Math · Plane Geometry · Hard

A square is inscribed in a circle of radius 5. What is the area of the square?

A) 25
B) 50
C) 100
D) 25π
E) 100π

Answer: B) 50. 对角线 = 直径 = 10；面积 = (1/2)(d²) = (1/2)(100) = 50.

Q75 【M-PGT-62】 · ACT Math · Trigonometry · Medium

If cos(θ) = 1/2 and θ is in the first quadrant, what is θ?

A) 30°
B) 45°
C) 60°
D) 90°
E) 120°

Answer: C) 60°. cos(60°) = 1/2.

Q76 【E-CSE-33】 · ACT English · Usage · Easy

Choose the correct verb: “The committee _____ already reached a decision.”

A) have
B) has
C) were
D) are
E) having

Answer: B) has. “committee” 作为整体作单数主语.

Q77 【E-CSE-33】 · ACT English · Usage · Medium

Choose the correct pronoun: “The award was given to _____ and Marcus.”

A) he
B) him
C) his
D) himself
E) they

Answer: B) him. 介词 “to” 后接宾格.

Q78 【E-CSE-32】 · ACT English · Sentence Structure · Medium

Which sentence corrects the misplaced modifier? “The dog bit the man with the leash.”

A) The dog bit the man with the leash.
B) With the leash, the dog bit the man.
C) The dog with the leash bit the man.
D) The man with the leash bit the dog.
E) The leash bit the man with the dog.

Answer: C). 修饰语须紧邻 “dog”，表示 “牵着皮带的狗”.

Q79 【E-CSE-32】 · ACT English · Sentence Structure · Easy

Choose the parallel structure: “She wanted to swim, _____, and to run.”

A) bike
B) biking
C) to bike
D) biked
E) bikes

Answer: C) to bike. 与 “to swim”、“to run” 并列，须用不定式.

Q80 【E-CSE-33】 · ACT English · Usage · Medium

Choose the correct tense: “When I called, she _____ dinner.”

A) cooks
B) cooked
C) was cooking
D) has cooked
E) will cook

Answer: C) was cooking. 过去进行时表示过去某时刻正在进行的动作.

Q81 【E-CSE-33】 · ACT English · Usage · Hard

Choose the correct verb: “A number of students _____ absent today.”

A) is
B) was
C) are
D) has been
E) was being

Answer: C) are. “a number of” 后接复数谓语.

Q82 【E-CSE-31】 · ACT English · Punctuation · Easy

Which sentence uses a comma correctly?

A) She bought apples, oranges and, bananas.
B) She, bought apples oranges and bananas.
C) She bought apples, oranges, and bananas.
D) She bought apples oranges bananas.
E) She bought, apples oranges and bananas.

Answer: C). 列举项之间用逗号分隔（含牛津逗号）.

Q83 【E-CSE-31】 · ACT English · Punctuation · Medium

Which sentence uses the semicolon correctly?

A) She studied hard; therefore, she passed.
B) She studied hard; and passed.
C) She studied; hard therefore.
D) She studied hard, therefore; she passed.
E) She; studied hard therefore passed.

Answer: A). 分号连接两个独立分句，“therefore” 后用逗号.

Q84 【E-CSE-31】 · ACT English · Punctuation · Medium

Which sentence uses the colon correctly?

A) The teacher said: “Open your books.”
B) The teacher: said open your books.
C) The teacher said: open your books.
D) The teacher said said: open books.
E) The: teacher said open your books.

Answer: A). 冒号可用于引出正式引语，前须为完整句子.

Q85 【E-CSE-31】 · ACT English · Punctuation · Easy

Which sentence uses the apostrophe correctly?

A) The childrens toys were scattered.
B) The children’s toys were scattered.
C) The childrens’ toys were scattered.
D) The children toy’s were scattered.
E) The childrens toy’s were scattered.

Answer: B). “children” 已是复数，所有格直接加 ‘s.

Q86 【E-PW-11】 · ACT English · Rhetoric · Medium

Which sentence would best OPEN an essay about the benefits of exercise?

A) “In conclusion, exercise is good.”
B) “Regular exercise offers profound benefits for both body and mind.”
C) “For instance, running burns calories.”
D) “Therefore, everyone should exercise.”
E) “Exercise is one option among many.”

Answer: B). 主题句应概括全文论点，而非结论或例证.

Q87 【E-PW-11】 · ACT English · Rhetoric · Hard

Which sentence most effectively supports the claim: “Reading fiction builds empathy.”

A) “Fiction is popular.”
B) “A 2013 study found readers of literary fiction scored 25% higher on empathy tests.”
C) “Books are widely available.”
D) “I enjoy reading novels.”
E) “Empathy is important.”

Answer: B). 具体研究数据最直接支持论点.

Q88 【E-PW-11】 · ACT English · Rhetoric · Medium

Which version is most concise and clear?

A) Due to the fact that it was raining, the game was cancelled on account of rain.
B) The game was cancelled because of rain.
C) The game was cancelled due to the fact that rain was falling.
D) On account of the rain falling, the game was cancelled.
E) Because of the fact that it rained, they cancelled the game.

Answer: B). 最简洁明了，无冗余.

Q89 【E-PW-11】 · ACT English · Rhetoric · Hard

Which sentence should be DELETED to improve paragraph unity? (Paragraph argues that public transportation reduces traffic.)

A) “Cities with robust transit systems report 30% less congestion.”
B) “Buses and trains carry millions daily.”
C) “My uncle takes the train to work.”
D) “Transit investment pays for itself within a decade.”
E) “Reduced traffic also lowers emissions.”

Answer: C). 个人轶事与论点无关，破坏段落统一性.

Q90 【E-CSE-32】 · ACT English · Sentence Structure · Easy

Which is a complete sentence?

A) Running through the park.
B) Although she was tired.
C) The dog barked loudly.
D) Because of the rain.
E) Waiting for the bus.

Answer: C) The dog barked loudly. 含独立主语与谓语，为完整句子.

Q91 【E-CSE-32】 · ACT English · Sentence Structure · Medium

Choose the correct sentence:

A) She is smarter than me.
B) She is smarter than I.
C) She is more smarter than me.
D) She is smart than I.
E) Her is smarter than me.

Answer: B) She is smarter than I. “than” 后接主格代词（“than I am” 省略）.

Q92 【E-CSE-32】 · ACT English · Sentence Structure · Hard

Which sentence avoids a comma splice?

A) It was late, I went home.
B) It was late, so I went home.
C) It was late, I was tired.
D) It was late, we left.
E) It was late, going home.

Answer: B). 用并列连词 “so” 连接两个独立分句，避免逗号拼接.

Q93 【E-CSE-33】 · ACT English · Usage · Hard

Choose the correct pronoun: “Everyone should bring _____ own calculator.”

A) their
B) they’re
C) there
D) his or her
E) theirs

Answer: D) his or her. “Everyone” 为单数不定代词，正式写作用单数代词.

Q94 【R-KID-71】 · ACT Reading · Main Idea · Medium

Passage (prose fiction): “The old house creaked and groaned in the wind, as if remembering the family that had long since abandoned it. Dust coated every surface like fine gray snow.” The passage primarily establishes:

A) A warm family reunion
B) A mood of abandonment and decay
C) A modern renovation
D) A humorous scene
E) A bustling household

Answer: B). “abandoned”、“dust” 等词营造废弃衰败氛围.

Q95 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage (prose fiction): “James folded the letter carefully, pressing each crease flat with his thumb, then placed it in the drawer with the others—all unanswered.” What can be inferred about James?

A) He enjoys writing letters
B) He is deliberately avoiding responding
C) He lost the letters
D) He cannot read
E) He plans to reply soon

Answer: B). 整齐折叠却 “all unanswered” 暗示有意回避回复.

Q96 【R-KID-72】 · ACT Reading · Detail · Easy

Passage (humanities): “Van Gogh created ‘The Starry Night’ in 1889 while living in an asylum at Saint-Rémy-de-Provence.” Where was Van Gogh living when he painted “The Starry Night”?

A) Paris
B) Amsterdam
C) An asylum at Saint-Rémy-de-Provence
D) A hospital in London
E) A studio in Arles

Answer: C). 文中明确 “in an asylum at Saint-Rémy-de-Provence”.

Q97 【R-CS-81】 · ACT Reading · Vocabulary · Medium

Passage (humanities): “The critic’s review was vitriolic, attacking the artist’s work with unrelenting bitterness.” As used, “vitriolic” most nearly means:

A) praising
B) brief
C) caustic
D) hesitant
E) humorous

Answer: C) caustic. “bitterness” 暗示刻薄、尖刻.

Q98 【R-KID-71】 · ACT Reading · Main Idea · Medium

Passage (social science): “The development of the interstate highway system in the 1950s transformed American suburbia, enabling commuters to live far from city centers while reshaping the national economy.” The main idea is:

A) Highways were expensive to build
B) The interstate system reshaped suburban living and the economy
C) Commuters dislike city living
D) The 1950s were economically stagnant
E) Suburbs existed before highways

Answer: B). 文段核心是州际系统对郊区生活与经济的重塑.

Q99 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage (social science): “When the factory closed, unemployment in the town tripled within six months. Local businesses soon shuttered as residents had less disposable income.” The closing of the factory caused:

A) An increase in population
B) A decline in local businesses due to reduced spending
C) A rise in factory jobs
D) Improved business conditions
E) No noticeable effect

Answer: B). 工厂关闭 → 失业增加 → 消费减少 → 本地商铺倒闭.

Q100 【R-KID-72】 · ACT Reading · Detail · Easy

Passage (natural science): “The Pacific Ring of Fire is a seismically active zone where roughly 75% of the world’s volcanoes are located.” Approximately what percentage of the world’s volcanoes are in the Ring of Fire?

A) 25%
B) 50%
C) 75%
D) 90%
E) 100%

Answer: C) 75%. 文中明确 “75%”.

Q101 【R-IKI-91】 · ACT Reading · Inference · Medium

Passage (natural science): “The enzyme’s activity dropped sharply above 45°C, consistent with the protein beginning to denature at elevated temperatures.” It can be inferred that:

A) Higher temperatures always improve enzyme function
B) The enzyme loses its structure and function at high temperatures
C) The enzyme works best at 45°C
D) Denaturation is reversible here
E) Temperature has no effect

Answer: B). “denature” 暗示蛋白质结构被破坏，活性下降.

Q102 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage (prose fiction): “What a splendid idea—another meeting that could have been an email. How ever do they think of these things?” The narrator’s tone is:

A) genuinely enthusiastic
B) sarcastic
C) fearful
D) curious
E) indifferent

Answer: B) sarcastic. 字面赞美与实际不满构成反讽.

Q103 【R-KID-72】 · ACT Reading · Detail · Medium

Passage (humanities): “Beethoven first gained fame as a pianist in Vienna. Later, he began losing his hearing, yet continued composing. His Ninth Symphony premiered in 1824, three years before his death.” Which event happened first?

A) He began losing his hearing
B) He gained fame as a pianist in Vienna
C) The Ninth Symphony premiered
D) He died
E) He stopped composing

Answer: B). 文中顺序：先成名 → 后失聪 → 第九交响曲 → 去世.

Q104 【R-IKI-91】 · ACT Reading · Inference · Medium

Passage (social science): “Unlike traditional classrooms, where instruction is uniform, Montessori classrooms allow students to choose activities at their own pace.” The passage contrasts the two by emphasizing:

A) Cost differences
B) The degree of student choice
C) Subject matter
D) Teacher training
E) Building design

Answer: B). 对比核心是 “uniform instruction” vs “student choice”.

Q105 【R-IKI-91】 · ACT Reading · Inference · Hard

Passage (natural science): “The discovery, long dismissed as a measurement error, turned out to reveal an entirely new class of subatomic particles.” The author’s attitude toward the discovery is:

A) dismissive
B) appreciative of its significance
C) skeptical
D) bored
E) regretful

Answer: B). “turned out to reveal an entirely new class” 体现对发现价值的肯定.

Q106 【S-DR-101】 · ACT Science · Data Interpretation · Easy

A biology data table shows heart rates (bpm): Resting 70, Walking 95, Running 140, Sprinting 175. What is the heart rate during walking?

A) 70 bpm
B) 95 bpm
C) 140 bpm
D) 175 bpm
E) 265 bpm

Answer: B) 95 bpm. 直接读表.

Q107 【S-DR-101】 · ACT Science · Data Interpretation · Medium

A chemistry experiment records pH at different acid concentrations: 0.1 M → pH 1, 0.01 M → pH 2, 0.001 M → pH 3. What is the relationship?

A) Higher concentration → higher pH
B) Higher concentration → lower pH
C) No relationship
D) pH is constant
E) pH equals concentration

Answer: B). 浓度越高，pH 越低（酸性越强）.

Q108 【S-DR-101】 · ACT Science · Data Interpretation · Medium

A physics graph shows an object’s velocity increasing from 0 to 20 m/s over 4 seconds. What is the acceleration?

A) 0 m/s²
B) 5 m/s²
C) 10 m/s²
D) 20 m/s²
E) 80 m/s²

Answer: B) 5 m/s². a = Δv / Δt = 20 / 4 = 5.

Q109 【S-DR-101】 · ACT Science · Data Interpretation · Easy

A geology table lists mineral hardness (Mohs): Talc 1, Gypsum 2, Quartz 7, Diamond 10. Which is the hardest?

A) Talc
B) Gypsum
C) Quartz
D) Diamond
E) All equal

Answer: D) Diamond. Mohs 硬度最高（10）.

Q110 【S-DR-102】 · ACT Science · Data Representation · Medium

An astronomy chart shows a star’s apparent brightness over time, dimming and brightening in a regular 5-day cycle. This pattern indicates the star is likely:

A) Stationary
B) A variable star with periodic brightness changes
C) Moving away from Earth
D) Becoming a planet
E) Constant in brightness

Answer: B). 规律周期性亮度变化是变星的特征.

Q111 【S-RS-111】 · ACT Science · Research Summary · Medium

A biology study tests antibiotic effectiveness on bacteria. Plates were incubated at 37°C for 24 hours. Why is 37°C an appropriate temperature?

A) It freezes the bacteria
B) It mimics human body temperature, the bacteria’s natural environment
C) It kills the bacteria
D) It is the boiling point of water
E) It has no special significance

Answer: B). 37°C 接近人体温度，是所测细菌的自然生长环境.

Q112 【S-RS-111】 · ACT Science · Research Summary · Hard

A chemistry experiment tests reaction rate at 4 temperatures, finding rate doubles for every 10°C increase. If the rate at 20°C is 2 mol/L·s, what is it at 40°C?

A) 2 mol/L·s
B) 4 mol/L·s
C) 6 mol/L·s
D) 8 mol/L·s
E) 16 mol/L·s

Answer: D) 8 mol/L·s. 20→30 翻倍为 4；30→40 再翻倍为 8.

Q113 【S-RS-111】 · ACT Science · Research Summary · Medium

A physics experiment drops objects of different masses from the same height. All land simultaneously (in a vacuum). This demonstrates that:

A) Heavier objects fall faster
B) Lighter objects fall faster
C) In a vacuum, all objects accelerate equally regardless of mass
D) Air resistance has no effect
E) Gravity does not exist

Answer: C). 真空中无空气阻力，所有物体加速度相同（g）.

Q114 【S-RS-111】 · ACT Science · Research Summary · Hard

An earth science study measures erosion rates on slopes of 5°, 15°, and 30° over one year. Erosion increases with slope angle. To isolate the effect of vegetation, the next experiment should:

A) Vary slope angle only
B) Hold slope angle constant and compare vegetated vs. bare slopes
C) Measure rainfall instead
D) Use different soil types
E) Increase the time period

Answer: B). 控制坡度不变，对比有植被与无植被，以隔离植被效果.

Q115 【S-CV-121】 · ACT Science · Conflicting Viewpoints · Hard

Biologist A: Predation by foxes controls rabbit populations. Biologist B: Disease is the primary control. Which observation best supports Biologist A?

A) Rabbit populations fluctuate seasonally
B) Rabbit populations decline most where fox density is highest, even without disease outbreaks
C) Both foxes and disease affect rabbits
D) Disease outbreaks occur in winter
E) Foxes eat other prey too

Answer: B). 在无疾病但狐狸密度高的地区兔群衰退最严重，支持捕食假说.

Q116 【S-CV-121】 · ACT Science · Conflicting Viewpoints · Medium

Chemist A: A reaction is exothermic. Chemist B: The same reaction is endothermic. The best way to resolve this is to:

A) Ask a third chemist
B) Measure the temperature change during the reaction
C) Look at the colors of reactants
D) Repeat with different chemicals
E) Ignore the disagreement

Answer: B). 直接测量反应过程中的温度变化即可判断吸热/放热.

Q117 【S-CV-121】 · ACT Science · Conflicting Viewpoints · Hard

Physicist A: Light is a wave. Physicist B: Light is a particle. The photoelectric effect (light ejecting electrons from metal) best supports which view?

A) Wave only
B) Particle (photon) model
C) Neither
D) Both equally
E) It disproves both

Answer: B) Particle (photon) model. 光电效应中光的粒子性解释电子的发射.

Q118 【S-CV-121】 · ACT Science · Conflicting Viewpoints · Medium

Astronomer A: Pluto is a planet. Astronomer B: Pluto is a dwarf planet. Astronomer B’s classification is based primarily on Pluto’s:

A) Color
B) Inability to clear its orbital neighborhood
C) Distance from the Sun
D) Size alone
E) Number of moons

Answer: B). 行星定义要求 “清除轨道邻域”，冥王星未满足此条件.

Q119 【S-DR-101】 · ACT Science · Data Interpretation · Easy

A biology table shows four cell types and their chromosome numbers: Human 46, Fruit fly 8, Dog 78, Cat 38. Which organism has the most chromosomes?

A) Human
B) Fruit fly
C) Dog
D) Cat
E) All equal

Answer: C) Dog. 78 条最多.

Q120 【S-RS-111】 · ACT Science · Research Summary · Medium

A physics experiment measures the period of a pendulum at different lengths. Results: 0.25 m → 1.0 s, 1.0 m → 2.0 s, 2.25 m → 3.0 s. What is the relationship between length and period?

A) Period is constant
B) Period is inversely proportional to length
C) Period is proportional to the square root of length
D) Period is proportional to length squared
E) No relationship

Answer: C). 0.25→√0.25=0.5→1.0×2; 1.0→√1.0=1.0→2.0×2; 2.25→√2.25=1.5→3.0×2. 周期 ∝ √长度.

ACT Practice Questions v12-beta

样题

Group 1 · Math (8 questions)

Group 2 · English (5 questions)

Group 3 · Reading (3 questions)

Group 4 · Science (4 questions)

Group 5 · Math (NEW) (12 questions)

Group 6 · English (NEW) (8 questions)

Group 7 · Reading (NEW) (5 questions)

Group 8 · Science (NEW) (5 questions)

Group 9 · Math (25 questions)

Group 10 · English (18 questions)

Group 11 · Reading (12 questions)

Group 12 · Science (15 questions)